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196423584 = 25372391223
BaseRepresentation
bin10111011010100…
…10111110100000
3111200121100111120
423231102332200
5400241023314
631254012240
74603400340
oct1355227640
9450540446
10196423584
11a096aa45
1255947080
1331904496
141c130d20
151239e8a9
hexbb52fa0

196423584 has 96 divisors (see below), whose sum is σ = 592220160. Its totient is φ = 55840512.

The previous prime is 196423561. The next prime is 196423589. The reversal of 196423584 is 485324691.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (196423589) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 159997 + ... + 161219.

It is an arithmetic number, because the mean of its divisors is an integer number (6168960).

Almost surely, 2196423584 is an apocalyptic number.

196423584 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 196423584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296110080).

196423584 is an abundant number, since it is smaller than the sum of its proper divisors (395796576).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

196423584 is a wasteful number, since it uses less digits than its factorization.

196423584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1482 (or 1474 counting only the distinct ones).

The product of its digits is 207360, while the sum is 42.

The square root of 196423584 is about 14015.1198353778. The cubic root of 196423584 is about 581.2967261315.

The spelling of 196423584 in words is "one hundred ninety-six million, four hundred twenty-three thousand, five hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 239 336 478 672 717 956 1223 1434 1673 1912 2446 2868 3346 3669 3824 4892 5019 5736 6692 7338 7648 8561 9784 10038 11472 13384 14676 17122 19568 20076 22944 25683 26768 29352 34244 39136 40152 51366 53536 58704 68488 80304 102732 117408 136976 160608 205464 273952 292297 410928 584594 821856 876891 1169188 1753782 2046079 2338376 3507564 4092158 4676752 6138237 7015128 8184316 9353504 12276474 14030256 16368632 24552948 28060512 32737264 49105896 65474528 98211792 196423584